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Simplifying -5(4y + -6) + 2(3y + 9) = 0 Reorder the terms: -5(-6 + 4y) + 2(3y + 9) = 0 (-6 * -5 + 4y * -5) + 2(3y + 9) = 0 (30 + -20y) + 2(3y + 9) = 0 Reorder the terms: 30 + -20y + 2(9 + 3y) = 0 30 + -20y + (9 * 2 + 3y * 2) = 0 30 + -20y + (18 + 6y) = 0 Reorder the terms: 30 + 18 + -20y + 6y = 0 Combine like terms: 30 + 18 = 48 48 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 48 + -14y = 0 Solving 48 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -14y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -14y = 0 + -48 -14y = 0 + -48 Combine like terms: 0 + -48 = -48 -14y = -48 Divide each side by '-14'. y = 3.428571429 Simplifying y = 3.428571429
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